On the stable equivalence of open books in three-manifolds.
Giroux, Emmanuel, Goodman, Noah (2006)
Geometry & Topology
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Giroux, Emmanuel, Goodman, Noah (2006)
Geometry & Topology
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Carvalho, Leonardo Navarro (2006)
Geometry & Topology
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Frigerio, Roberto (2006)
Algebraic & Geometric Topology
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Po Hu (1999)
Fundamenta Mathematicae
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We calculate completely the Real cobordism groups, introduced by Landweber and Fujii, in terms of homotopy groups of known spectra.
Friedrich Bauer (1997)
Fundamenta Mathematicae
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Daciberg Gonçalves, Jerzy Jezierski (1997)
Fundamenta Mathematicae
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We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true.
Peter Saveliev (1999)
Fundamenta Mathematicae
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A Lefschetz-type coincidence theorem for two maps f,g: X → Y from an arbitrary topological space to a manifold is given: , that is, the coincidence index is equal to the Lefschetz number. It follows that if then there is an x ∈ X such that f(x) = g(x). In particular, the theorem contains well-known coincidence results for (i) X,Y manifolds, f boundary-preserving, and (ii) Y Euclidean, f with acyclic fibres. It also implies certain fixed point results for multivalued maps with “point-like”...
Denne, Elizabeth, Diao, Yuanan, Sullivan, John M. (2006)
Geometry & Topology
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Zoran Spasojević (1995)
Fundamenta Mathematicae
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I prove that the statement that “every linear order of size can be embedded in ” is consistent with MA + ¬ wKH.
Michał Misiurewicz (1994)
Fundamenta Mathematicae
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For continuous maps of an interval into itself we consider cycles (periodic orbits) that are non-reducible in the sense that there is no non-trivial partition into blocks of consecutive points permuted by the map. Among them we identify the miror ones. They are those whose existence does not imply existence of other non-reducible cycles of the same period. Moreover, we find minor patterns of a given period with minimal entropy.